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Optimality and Duality in Nondifferentiable Multiobjective Optimization Involvingd-Type I and Related Functions

✍ Scribed by S.K. Suneja; Manjari K. Srivastava

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
164 KB
Volume
206
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper new classes of functions, namely d-type-I, d-quasitype-I, and d-pseudo type-I, are defined for a multiobjective nondifferentiable programming problem. Kuhn᎐Tucker-type necessary and sufficient optimality conditions are obtained for a feasible point to be a weak minimum for this problem. Two duals are formulated and various duality results are given by using the above defined classes of functions, considering the concept of a weak minimum.

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